In the description of a mathematical set, the term exclusive denotes that the endpoints of a range are not included within the set. For example, "the integers -2 to 2 exclusive" refers to the set {-1,0,1}; the endpoints, -2 and 2, are excluded. The term is generally applied to discrete elements.
In Boolean logic the exclusive oroperator refers to exclusive disjunction, which has a true value if either but not both arguments are true. Distinct from inclusive or (or simply or), which is true if either or both arguments are true.
In marketing, "exclusive" can refer to products that are only available from select distributors or retailers, and have never been released before, or only at a particular event.
In journalism, "exclusive" can refer to information provided to or available from only one news outlet, such as an interview or photograph.
See also: inclusive. In mathematics, a set can be thought of as any collection of distinct things considered as a whole. ... An endpoint or end point is a mark of termination or completion. ... The integers are commonly denoted by the above symbol. ... Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. ... Boolean logic is a complete system for logical operations. ... In mathematics, an operator is a function that performs some sort of operation on a number, variable, or function. ... Exclusive disjunction, also known as exclusive or and symbolized by XOR or EOR, is a logical operation on two operands that results in a logical value of true if and only if one of the operands, but not both, has a value of true. ... Exclusive we is a pronoun that indicates the speaker and perhaps other people, but excludes the addressee, as opposed to the inclusive we that includes the addressee. ... Linguistics is the scientific study of language. ... In linguistics and grammar, a pronoun is a pro-form that substitutes for a noun phrase. ... In linguistics, an addressee is an intended direct recipient of the speakers communication. ... Wikibooks has more about this subject: Marketing Look up marketing in Wiktionary, the free dictionary. ... Journalism is a discipline of writing. ... Exclusive is the title of Chris Browns second album stated on MTV.com. ... Rhythm and blues (or R & B) is a musical marketing term introduced in the United States in the late 1940s by Billboard magazine. ... This article or section is not written in the formal tone expected of an encyclopedia article. ... The term inclusive, in a mathematical context, denotes that the endpoints of a set are included within that set. ...
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Exclusive or (usual symbol XOR occasionally EOR), which is sometimes called exclusivedisjunction, is a logical operator that results in true if one of the operands, but not both of them, is true.
The exclusivedisjunction of propositions A and B is usually called A xor B, where "xor" stands for "exclusive or" and is pronounced "eks-or" or "zor".
Exclusive-or is sometimes used as a simple mixing function in cryptography, for example, with one-time pad or Feistel network systems.
"Exclusivedisjunction is the sense of the word or as in the proverb you can have your cake or eat it (but not both)."
which is not supported by the definition of exclusivedisjunction.
In other words, if the meaning in the proverb were really the exclusivedisjunction, it would follow that I had permission to take one of the two actions, but you wouldn't tell me which.